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212012120210020 = 22513815431231577
BaseRepresentation
bin110000001101001011101011…
…000111001111101001100100
31000210200011100012000121212021
4300031023223013033221210
5210242101310233210040
62030525005021432524
762441240660401354
oct6015135307175144
91023604305017767
10212012120210020
116160a920794349
121b94145210b744
13913b8709b1970
143a4d627192b64
151979dc607824a
hexc0d2eb1cfa64

212012120210020 has 24 divisors (see below), whose sum is σ = 479473564167864. Its totient is φ = 78281398231296.

The previous prime is 212012120210003. The next prime is 212012120210029. The reversal of 212012120210020 is 20012021210212.

It is a happy number.

212012120210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7507019131236 + 204505101078784 = 2739894^2 + 14300528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212012120209976 and 212012120210003.

It is not an unprimeable number, because it can be changed into a prime (212012120210029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407715615529 + ... + 407715616048.

It is an arithmetic number, because the mean of its divisors is an integer number (19978065173661).

Almost surely, 2212012120210020 is an apocalyptic number.

212012120210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012120210020 is an abundant number, since it is smaller than the sum of its proper divisors (267461443957844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212012120210020 is a wasteful number, since it uses less digits than its factorization.

212012120210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815431231599 (or 815431231597 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212012120210020 its reverse (20012021210212), we get a palindrome (232024141420232).

The spelling of 212012120210020 in words is "two hundred twelve trillion, twelve billion, one hundred twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 815431231577 1630862463154 3261724926308 4077156157885 8154312315770 10600606010501 16308624631540 21201212021002 42402424042004 53003030052505 106006060105010 212012120210020